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Finding the Fourth Proportional to 326.37, 489.55 and 180.11

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Solution

The fourth proportional to 326.37, 489.55 and 180.11 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.37 : 489.55 = 180.11 : x
  2. Step 2: Convert to fraction form
    326.37/489.55 = 180.11/x
  3. Step 3: Cross multiply
    326.37x = 489.55 × 180.11
  4. Step 4: Simplify right side
    326.37x = 88,173.62
  5. Step 5: Solve for x
    x = 88,173.62/326.37
  6. Step 6: Final answer
    x = 270.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.